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Finding the Fourth Proportional to 143,009.76, 214,514.46 and 49,515.42

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Solution

The fourth proportional to 143,009.76, 214,514.46 and 49,515.42 is: 74,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,009.76 : 214,514.46 = 49,515.42 : x
  2. Step 2: Convert to fraction form
    143,009.76/214,514.46 = 49,515.42/x
  3. Step 3: Cross multiply
    143,009.76x = 214,514.46 × 49,515.42
  4. Step 4: Simplify right side
    143,009.76x = 10,621,773,582.97
  5. Step 5: Solve for x
    x = 10,621,773,582.97/143,009.76
  6. Step 6: Final answer
    x = 74,273.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.